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Study on model of Fourier Hopfield neural network and applications in optimization

XU Yao-qun,HE Shao-ping,ZHANG Li(Institute of system engineering,Harbin university of commerce,Harbin 150028,China)  
Hopfield neural network(HNN) is an efficient optimization model,but it is easy to be trapped in local minima.This paper presents a new model of Hopfield neural network which is called Fourier Hopfield neural network(FHNN) and its activation function is composed by trigonometric function and sigmoid function,based on the fact that the Fourier series not only has the further ability in local approaching but also has a nature of higher nonlinear,and applied the model to the application to optimization problems.The simulation results have shown that the Fourier Hopfield neural network has higher ability of searching for globally optimal solutions and summits a satisfied accurate effect in the application of optimization problems.
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